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Encyclopedia > Longitude of ascending node

The Longitude of the ascending node () is one of the orbital elements used to specify the orbit of an object in space. For a sun-orbiting body, it is the angle formed at the sun from the First Point of Aries to the body's ascending node.

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Longitude of ascending node and other orbital parameters



Calculation from state vectors

In astrodynamics for elliptic orbits longitude of the ascending node is the angle between reference direction (e.g. vernal equinox) and the ascending node and can be calculated from orbital state vectors as:

(if then )

where:

  • is the x-component of ,
  • is cartesian vector pointing towards the ascending node (i.e. the z-component of is zero).


For equatorial orbits (i.e. orbits with orbital inclination equal to zero) is undefined. For computations it is then by convention set to zero i.e. "ascending node" is placed in the reference direction which is equivalent to setting for right-handed system with the x-axis pointing towards the vernal equinox (or other reference direction) and the z-axis pointing upwards.


See also


  Results from FactBites:
 
Practical Astronautics (1528 words)
ascending node - the point on the orbit where the spacecraft crosses the equatorial plane moving from the southern hemisphere to the northern hemisphere.
180 degrees from the ascending node is the descending node.
LAN realtes the orbits orientation to the Prime Meridian.
Orbital Elements and Astronomical Terms (1242 words)
Figure 2): The angle between the plane of the orbit and the plane of the celestial equator for Earth orbiting satellites (or the plane of the ecliptic for sun orbiting satellites).
* Longitude of the Ascending Node, (W in Figure 2): The angle between the vernal equinox and the ascending node, measured counter-clockwise.
It is equal to the sum of the Argument of Perigee and the Longitude of the Ascending Node (W + w in figure 2).
  More results at FactBites »


 

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